Boys to girls

The ratio of boys to girls at a party is 3:5. If six more boys arrived and four girls left the party, the ratio of boys to girls would be 5:6. How many people were at the party initially?

Correct result:

t =  64

Solution:

 t=a+b a=3/5 b (a+6)=5/6 (b4)  a+bt=0 5a3b=0 6a5b=56  a=24 b=40 t=64



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